Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
type: Item
instance of: scholarly article
title: Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
zbMATH Open document ID: 1042.78002
DOI: 10.1016/S0021-7824(01)01217-X
author: Habib Ammari
author: Michael S. Vogelius
author: Darko Volkov
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2002-07-24T00:00:00Z
review text: The authors consider the time-harmonic Maxwell equations in the presence of finitely many interior inhomogeneities of small diameter. They develop a rigorous asymptotic analysis of the leading-order perturbations of the boundary magnetic fields. This extends results by \textit{M. S. Vogelius} and \textit{D. Volkov} [M2AN, Math. Model. Numer. Anal. 34, 723--748 (2000; Zbl 0971.78004)], where only solutions with TE and TM symmetries were considered. The asymptotic formulas are expected to lead to efficient identification algorithms for determining an object from electromagnetic boundary measurements.
reviewed by: Johannes Elschner
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78M35
Mathematics Subject Classification ID: 78A46
zbMATH DE Number: 1770846
zbMATH Keywords: Maxwell equations
zbMATH Keywords: small inhomogeneities
zbMATH Keywords: boundary perturbations
zbMATH Keywords: asymptotic formulas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1770846